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Finding the Fourth Proportional to 61.38, 91.89 and 42.05

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Solution

The fourth proportional to 61.38, 91.89 and 42.05 is: 62.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.38 : 91.89 = 42.05 : x
  2. Step 2: Convert to fraction form
    61.38/91.89 = 42.05/x
  3. Step 3: Cross multiply
    61.38x = 91.89 × 42.05
  4. Step 4: Simplify right side
    61.38x = 3,864.20
  5. Step 5: Solve for x
    x = 3,864.20/61.38
  6. Step 6: Final answer
    x = 62.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.